Neural network models

2023/01/08 by Plamen Dimitrov, Dimitrov, Plamen
Computer Science · #37N25 (Primary) 92B20 #68T07 (Secondary) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Neural Networks and Applications #Neural and Evolutionary Computing (cs.NE)

paper · pdf · doi:10.48550/arxiv.2301.02987

openalex publication_date 2023/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work presents the current collection of mathematical models related to neural networks and proposes a new family of such with extended structure and dynamics in order to attain a selection of cognitive capabilities. It starts by providing a basic background to the morphology and physiology of the biological and the foundations and advances of the artificial neural networks. The first part then continues with a survey of all current mathematical models and some of their derived properties. In the second part, a new family of models is formulated, compared with the rest, and developed analytically and numerically. Finally, important additional aspects and any limitations to deal with in the future are discussed.

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